Assessment Data: ESL Teachers Attached are assessment data for Thomas, a new student to the school this semester who has been identified as a student with Limited English Proficiency. Thomas currently is in the 7 th grade general education math class. Thomas (Age 12 years, 4 months) Background Information: Thomas entered the Pueblo City Schools during the current semester, moving with his family from Phoenix, Arizona, the previous summer. Records were sent from Phoenix indicating that Thomas had been a student in that school district for 2 years; previously he had attended schools in Mexico City. Thomas first language is Spanish, and he received some instruction in English prior to coming to the United States. He has not yet been tested by specialists from the Pueblo Schools but administrators received assessment information conducted last Spring in Arizona. The following are details from two assessments conducted by ESL and learning specialists in the Phoenix system. Language and Literacy Assessment Thomas scored the following on the IPT: Reading: Limited English Reader (LER) Writing: Limited English Writing (LEW) Speaking: Limited English Speaking (LES) Based on this test and other observations, the following describes his English skills: Listening Speaking Reading Writing Grammar Level II Understands learned phrases and simple new phrases containing familiar vocabulary. May need slow speech and repetition. Has limited ability to understand in noncontact situations (e.g., telephone). Can generally understand the main idea of conversations on familiar topics and contexts. May be able to understand conversations on familiar topics when spoken slowly and Expresses basic survival needs. Participates in conversations in routine social situations using learned phrases and simple sentences. Still uses gestures, but does not rely on them. Begins to show signs of spontaneity but generally does not go beyond the given subject. Attempts to participate in conversations in nonroutine social situations. Speaks with hesitation and pauses searching for vocabulary, and/or translating directly from primary language. May switch to primary language. States simple personal inforamtion on the telephone, but Can arrange lists in alphabetical order. Can read some passages with unfamiliar vocabulary. Uses strategies such as predicting and phonics decoding to interpret new vocabulary in familiar contexts. Scans for specific information in simplified, lifeskill materials related to immediate needs. Can answer simple factual questions relating to short passages (e.g. yes/no, true/false, fill-in, wh-) without assistance. Reads simplified narratives on familiar and some unfamiliar CONTENT & VOCABULARY: Addresses part of the task (some but little substance) or copies from the model. Irrelevant information. Frequent vocabulary errors of function, choice, & usage with meaning obscured. ORGANIZATION & DEVELOPMENT: Thought pattern can be difficult to follow, ideas not connected, not logical. MECHANICS & STRUCTURE: Frequent errors. Inconsistent Has inconsistent control of basic grammatical forms and structures. Makes frequent errors. Short subject/ verb/ compliment sentences are common. May attempt compound sentences with 'and'. Uses some basic modifiers (articles, possessive pronouns, adjectives) but is inconsistent and makes frequent errors. Greater variety of verbs emerging mostly using the present tense forms. Attempts other tenses, but mostly incorrect.
Writing Reading with repitition. with difficulty.elaborates ideas a little on familiar subjects. May elaborate by saying other words or phrases of similar meaning that express the original idea. Explains ideas using learned phrases or very simple sentences. Answers questions with isolated words or simple sentences. Has difficulty comprehending wh questions that are not on very familiar topics. Given familiar subjects, will usually respond with a short simple sentence, sometimes two sentences together. Sentences are often 4 to 8 words in length. topics with some misinterpretations. Can locate correct entries in a bilingual dictionary. use of punctuation. Spelling may distract from meaning. Invented spelling. Frequent grammatical errors. Meaning obscured. Sentence structure repetitive (or copies from model). IPT Level 4 test, grades 6-8 Content Test Sections Tasks (number of items) Demonstrate Vocabulary Knowledge: Identify a word that describes a picture Read a Graph: Answer comprehension questions about a graph Read & Respond to Academic Texts: Answer comprehension questions about extended texts Conventions: Choose correct spelling or punctuation that completes a sentence Grammar: Choose an answer that completes a sentence grammatically Descriptive Writing : Write a paragraph to describe a picture or graph related to content areas Expository Writing: Write a paragraph to explain a process shown in a series of pictures Persuasive/Expository Writing: Write a persuasive essay in response to a written prompt
Speaking Listening Follow Classroom Directions: Identify a picture of students who have followed the directions Comprehend Mathematical Language: Choose a math expression that corresponds to a math word problem Understand Classroom Dialogue: Answer comprehension questions about classroom dialogue Listen and respond to Academic Lectures: Answer comprehension questions about the academic texts Identify Objects & Actions: Identify common objects and actions using high-frequency words Describe Events in a Sequence: Describe a classroom activity presented in a series of pictures Use Mathematical Language: Explain simple math operations Explain a Graph: Describe and compare information in a graph Express Opinions: Express an opinion on one of the three topics IPT Level 5 test, grades 9-12 Math Assessment A Diagnostic Math Assessment was administered with support in Spanish based on state standards with the following results Code: + = Tested Correctly; - = Tested Incorrectly; N/T = Not Tested Construct 1: Integer Operations Adding two positive numbers...+ Subtracting two positive numbers...+ Multiplying two positive numbers...+ Adding a positive and a negative...- Adding two negative numbers...- Subtracting a negative and a positive...- Subtracting two negative numbers...- Dividing two negative numbers...- Multiplying a positive and a negative...- Dividing a positive and a negative...- Absolute value...- Construct 2: Fraction Operations Fraction identifi cation...+ Simplifying fractions...+ Adding fractions with the same denominator...+ Subtracting fractions with the same denominator..+ Adding fractions with different denominators...+ Subtracting fractions with different denominators..+ Multiplying fractions...+ Dividing fractions... + Adding mixed numbers with regrouping...+ Subtracting mixed numbers with regrouping...+ Multiplying mixed numbers...+ Dividing mixed numbers... +
Construct 3: Decimal Operations Adding decimals, same place values...+ Adding decimals, different place values...+ Subtracting decimals, same place values...+ Subtracting decimals, different place values...+ Multiplying decimals (vertically written)...- Multiplying decimals (horizontally written)...- Dividing a whole number by a whole number (decimal answer)...+ Dividing a whole number by a decimal...- Dividing a decimal by a decimal...- Construct 5: Estimating and Rounding Estimating measurement...+ Estimating measurement (metric)...+ Rounding whole numbers (hundreds)... + Rounding whole numbers (ten-millions)...+ Rounding decimals (hundredths)...+ Rounding decimals (ten-thousandths)...- Construct 7: Ratios and Proportions Writing as a ratio from a word problem...- Solving proportions (using : symbol)...- Solving proportions (using fractions)...- Solving proportions, word problem...nt Rewriting a proportion as a percent...nt Construct 9: Coordinate Graphing Knowledge of quadrants...+ Knowledge of quadrants...+ Point identifi cation...+ Knowledge of line equations...- Knowledge of slope...- Knowledge of y-intercept...- Knowledge of line equations...- Construct 11: Simple Equations Solving one-step equations, add/sub...+ Solving one-step equations, add/sub...+ Solving one-step equations, mult/div...-. Solving one-step equations, ratio...nt Solving two-step equations...nt Solving two-step equations, harder...nt Construct 4: Comparing and Converting Converting a fraction to a decimal...+ Converting a decimal to a fraction...- Converting a decimal to a percent...- Converting a percent to a decimal...- Converting a percent to a fraction...- Converting a fraction to a percent...- Ordering fractions...+ Ordering mixed numbers...- Ordering fractions, decimals, and percents...- Ordering fractions, decimals, and percents...- Pre-Algebra Diagnostic Construct 6: Evaluating Exponents Knowledge of base and exponent...+ Defi nition of base...+ Defi nition of exponent...+ Evaluating exponents...- Scientifi c notation (converting to)...- Scientifi c notation (converting from)...- Construct 8: Simplifying Expressions Order of operations (simple)...- Order of operations (harder)...- Parentheses...- Simplifying with variables...- Simplifying with variables and parentheses...nt Simplifying with variables and exponents...nt Construct 10: Linear Functions & Extending Patterns Number patterns... Number patterns as a data chart... Complex number patterns... Identifying the graph of an input/output table... Solving for one variable, basic equation... Solving for one variable, fraction in equation... Solving for one variable, harder equation... Completing an input/output for a function... Construct 12: Geometry Finding perimeter of a rectangle...+ Finding area of a square...+ Finding area of a rectangle...+. Finding missing angle measurement of a triangle + Finding area of a triangle...+. Solving a triangle...-. Finding missing angle measurement of a circle...-.
Construct 13: Interpreting Data Reading a bar graph...+ Reading a bar graph and fi nding a range...+ Reading a pie graph...- Reading a table, performing a calculation...+ Reading a table, drawing a conclusion...- Finding the sample space of a data set...-. Finding an average of a data set...- Finding the mean of a data set...- Finding the median of a data set...nt Finding the mode of a data set...nt Finding perimeter of a circle...+ Finding area of a circle...+ Finding surface area of a rectangular prism...- Finding volume of a cylinder...-. Construct 14: Simple Probability Probability rule...+ General rule of a coin fl ip...- Probability of a coin fl ip...- Probability of dice...- Simple probability...- Simple probability...nt Simple probability...nt Observations from Thomas Teachers: Thomas is quiet in class and rarely asks for help or raises questions unless he is working in small groups. He will query his peers but rarely approaches teachers. He is always on-task and completes assignments given to him.
Ch. 2 - Geometry Ch. 1 Interpreting Data Progress Data Below are data for Thomas in the current year in her 7 th grade math class. Attached is the pretest for Order of Operations for Chapter 3. Concept Thomas Daily Work/% correct on post-test Reporting Frequency 80%/75% Making Data Displays 80%/70% Mean, Median, Mode 100%/85% Scatter Plots 100%/80% Stem-and Leaf Plots 90%/75% Sampling & Surveys 70%/50% Problem Solving 70%/0% Angles & Angle Pairs 80%/75% Classifying Triangles 80%/75% Solving Problems by Drawing Diagrams 75%/50% Congruent Triangles 80%/100% Quadrilaterals 80%/80% Circles 80%/80% Constructing Bisectors 70%/50% 3 Dimensional Figures 80%/50% Problem Solving 65%/25%
Ch. 3 Application of Decimals Concept Thomas 1. Round decimals and estimate 80% 2. Compare decimals 90% 3. Add and subtract decimals 90% 4. Multiply and divide decimals 5. Use the identity and zero properties with decimals 6. Use the commutative, associative, and distributive properties with decimals 7. Follow the order of operations in solving equations 8. Understand exponents* 60% 9. Write variable expressions 10. Solve word problems with exponents and decimals *Current lesson